For the following APs, write the first term and the common difference:
$\frac{1}{3}, \frac{5}{3}, \frac{9}{3}, \frac{13}{3}, ……..$

Given:

Given A.P. is $\frac{1}{3}, \frac{5}{3}, \frac{9}{3}, \frac{13}{3}, ……..$

To do:

We have to write the first term and the common difference.

Solution:

In the given A.P.,

$a_1=\frac{1}{3}, a_2=\frac{5}{3}, a_3=\frac{9}{3}$

Therefore,

First term $a=a_1=\frac{1}{3}$

Common difference $d=a_2-a_1=\frac{5}{3}-\frac{1}{3}=\frac{5-1}{3}=\frac{4}{3}$.

The first term $a$ is $\frac{1}{3}$ and the common difference $d$ is $\frac{4}{3}$.  

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Updated on: 10-Oct-2022

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